Recently, Cwikel estimates have been experiencing a revival of interest. A general abstract operator theoretic framework for Cwikel-type estimates has been emerging (see [1]}, [2]}, [3]}). In a recent article [2]} Hundertmark et al. used a refinement of Cwikel's estimates to get some of the best CLR bounds to date. Furthermore, applications of Cwikel-type estimates to Connes's noncommutative geometry program were found [5]}, [6]}, [7]}, [3]}, [9]}, [10]}, [11]}, [12]}. In particular, Cwikel-type estimates for noncommutative Euclidean spaces were established by Levitina-Sukochev-Zanin [3]}.
